点集Z_v上所有P_k-区组轨道的一个代表系

A Representative System of All the P_k-Block Orbits on Z_v

利用差方法讨论了点集Zv上所有Pk-区组轨道的代表系问题,得到了在模v剩余类群Zv的作用下点集Zv上所有Pk-区组轨道的一个代表系,其中v为奇数且2≤k≤v.

The representative system of all the Pk-block orbits on the set Zv is discussed by using the difference method.For odd number v（2≤k≤v）,a representative system of all the Pk-block orbits on the set Zv under the action of the group Zv is obtained,where Zv is the residue class group of modulo v.